Tag: math & puzzles

The parabola (y + 1) 2 = a(x-2) passes through the point (1, -2). The equation of its directrix is

If the function f(x) = { x^2 - (A + 2) x +A/x-2 for x ¹ 2 is continuous x = 2 then:

Let a, b, c be any real numbers. Suppose that there are nubers x, y, z not all zero such that x = cy + bz, y = az + cx, and z = bx + ay. Then a2 + b2 + c2 + 2abc is equal to

A man leaves office daily at 7pm A driver with car comes from his home to pick him from office and bring back home One day he gets free at 5:30 and instead of waiting for driver he starts walking towards home.In the way he meets the car and returns home on car He reaches home 20 minutes earlier than usual.In how much time does the man reach home usually??

A works thrice as much as B. If A takes 60 days less than B to do a work then find the number of days it would take to complete the work if both work together?

A boy has Rs 2. He wins or loses Re 1 at a time If he wins he gets Re 1 and if he loses the game he loses Re 1. He can loose only 5 times. He is out of the game if he earns Rs 5.Find the number of ways in which this is possible

How long will a train 100m long traveling at 72kmph take to overtake another train 200m long traveling at 54kmph